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Construction of the steady state density matrix and quasilocal charges for the spin-1/2 XXZ chain with boundary magnetic fields
ID Matsui, Chihiro (Author), ID Prosen, Tomaž (Author)

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Abstract
We construct the nonequilibrium steady state (NESS) density operator of the spin-$1/2$ XXZ chain with non-diagonal boundary magnetic fields coupled to boundary dissipators. The Markovian boundary dissipation is found with which the NESS density operator is expressed in terms of the product of the Lax operators by relating the dissipation parameters to the boundary parameters of the spin chain. The NESS density operator can be expressed in terms of a non-Hermitian transfer operator (NHTO) which forms a commuting family of quasilocal charges. The optimization of the Mazur bound for the high temperature Drude weight is discussed by using the quasilocal charges and the conventional local charges constructed through the Bethe ansatz.

Language:English
Keywords:quantum mechanics, spin models, quantum chains
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publication status:Published
Publication version:Author Accepted Manuscript
Publisher:IOP Publishing Ltd
Year:2017
Number of pages:16 str.
Numbering:Vol. 50, art. no. 385201
PID:20.500.12556/RUL-100072 This link opens in a new window
UDC:530.145
ISSN on article:1751-8113
DOI:10.1088/1751-8121/aa82db This link opens in a new window
COBISS.SI-ID:3178084 This link opens in a new window
Publication date in RUL:02.03.2018
Views:1304
Downloads:744
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Record is a part of a journal

Title:Journal of physics : Mathematical and theoretical
Shortened title:J. phys., A, Math. theor.
Publisher:IOP Publishing
ISSN:1751-8113
COBISS.SI-ID:3692314 This link opens in a new window

Secondary language

Language:Slovenian
Keywords:kvantna mehanika, spinski modeli, kvantne verige

Projects

Funder:EC - European Commission
Funding programme:H2020
Project number:694544
Name:Open many-body non-equilibrium systems
Acronym:OMNES

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